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Q.

State True/False:
The square root of the number 4096 by the prime factorization method will be 65.


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a

True

b

False 

answer is B.

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Detailed Solution

We have to find the square root of 4096 through the prime factorization method.
Calculating the square root of 4096 using the prime factorization method:
∵ 4096=2×2×2×2×2×2×2×2×2×2×2×2 ∴  4096 = 2 2 × 2 2 × 2 2 × 2 2 × 2 2 × 2 2           =2×2×2×2×2×2 =64  
So, the square root of the number 4096 by the prime factorization method will be 64. Thus, the given statement is false.
Therefore, option 2 is correct.

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State True/False:The square root of the number 4096 by the prime factorization method will be 65.